{
  "id": "1701.00430",
  "version": "v1",
  "published": "2017-01-02T15:56:10.000Z",
  "updated": "2017-01-02T15:56:10.000Z",
  "title": "Homotopy Decompositions of Gauge Groups over Real Surfaces",
  "authors": [
    "Michael West"
  ],
  "comment": "43 pages, to be published in Algebraic and Geometric Topology",
  "categories": [
    "math.AT"
  ],
  "abstract": "We analyse the homotopy types of gauge groups of principal U(n)-bundles associated to pseudo Real vector bundles in the sense of Atiyah. We provide satisfactory homotopy decompositions of these gauge groups into factors in which the homotopy groups are well known. Therefore, we substantially build upon the low dimensional homotopy groups as provided in a paper by I. Biswas, J. Huisman, and J. Hurtubise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-02T15:56:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P15",
      "55Q52"
    ],
    "keywords": [
      "gauge groups",
      "real surfaces",
      "low dimensional homotopy groups",
      "pseudo real vector bundles",
      "satisfactory homotopy decompositions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}